Mathematics 2

Ms. Meek

Fractions Review

Fractions are part of a whole number.

On a number line, if an arrow is pointing at a number located between two whole numbers,

that is a fraction.

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Review: Parts of a Whole

Fractions are part of a whole number.

If only part of a group is participating in an activity or is

represented, that part of the whole group is a fraction.

The money left over from a whole dollar, the change, is also a

fraction. It is part of a whole dollar.

Parts of a Whole

One way to write fractions numerically, is with a fraction

bar.

If there are 12 boys in a classroom with 25 students, 12

out of 25 kids are boys.

The boys are a fraction of the group.

We can write that this way: 12

25

Writing Fractions

12 numerator 25denomiator

The numerator is the number on top. It represents the part of

the whole group.

The denominator is the bottom number. It represents the whole

group.

The numerator should always be smaller than the denominator.

Fraction Vocabulary

Fractions are often easier to understand through models with

pictures.

We can look at the parts of the whole that are shaded or un-

shaded.

Each part of the whole represents a fraction.

Modeling Fractions

Modeling Fractions

Modeling fractions

What fraction of the shaded pieces is represented by the

model?46

Modeling fractions

What fraction of the un-shaded pieces is represented by the

model?13

Review: Comparing Numbers

Vocabulary: greater than >less than <equal =

Both parts of the fraction need to be considered when

comparing.

Comparing Fractions

The denominator, or bottom of the fraction, indicates the total number

of parts there are in the whole.

The larger denominator, the more pieces.

The more pieces the whole is broken into, the smaller the fraction.

Comparing Fractions

The numerator, or the top, tells us how many pieces of the

whole we are considering.

The larger numerator, the larger the fraction.

Comparing Fractions

1 1

6 3

In the the fraction 1/3 , 1 piece of 3

total are shaded.

In the fraction 1/6 , 1 piece of 6 total are shaded.

To answer your question about which fraction is larger, you just

need to look at both pies, and decide which one has more shading.

The pie with the most shading represents the larger fraction.

Comparing Fractions

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1 1

6 3

Comparing Fractions WithUnlike Denominators &

Numerators

2 3

4 8

To determine which fraction is larger, you just need to look at

both pies, and decide which one has more shading.

The pie with the most shading represents the larger fraction.

In this case, the pie showing 2/4 has more shading than the pie

showing 3/8.

This means that 2/4 is larger than 3/8.

Comparing Fractions WithUnlike Denominators &

Numerators

2 3

4 8

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Practice 3 ?

2 4

6>

When the numerator of the fraction is the same as the denominator, the fraction

equals one.

This is because the total number in the group is the same as the number of pieces represented

Fractions Equaling One

All four pieces out of a total of four pieces are shaded.

44

Fractions Equaling One

Often times, there are fractions with different numbers, but they can take up the same amount of

space in a whole. These are equivalent fractions.

Equivalent fractions are two fractions that are the same

amount.

The word equivalent means equal in value or measure.

Equivalent Fractions

Equivalent Fractions

Equivalent Fractions

Equivalent Fractions

We have learned that fractions are a part of a whole, but have

only looked at them represented as

numbers and as models.

Remember that fractions indicate the part of the whole group that

is being represented.

Fractions of a Group

For Example:If there are ten dogs at the park,

and four of those dogs are brown, what fraction of the

dogs are brown?

Four out of ten dogs are brown.4

10

Fractions of a Group

What fraction of the bells are

green?Three out of six bells are green.

36

Fractions of a Group

What fraction of the group is

white?One out of five are white.

15

Fractions of a Group

What is ½ of 6?3

Fractions of a Group

What is ¼ of 4?1

Fractions of a Group